Three-dimensional numerical simulation of oscillatory Marangoni flow in half-zone of low-Pr fluids

Nobuyuki Imaishi; Shouichi Yasuhiro; Tsuneyuki Sato; Shinichi Yoda

doi:10.1117/12.351295

6 July 1999 Three-dimensional numerical simulation of oscillatory Marangoni flow in half-zone of low-Pr fluids

Nobuyuki Imaishi, Shouichi Yasuhiro, Tsuneyuki Sato, Shinichi Yoda

Proceedings Volume 3792, Materials Research in Low Gravity II; (1999) https://doi.org/10.1117/12.351295
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

3D unsteady numerical simulations were conducted, by means of the finite difference method, to understand the characteristics of stationary and oscillatory 3D Marangoni flows in half-zone liquid bridges of low Prandtl number fluids (Pr=0.01 and 0.02) with different aspect ratios (As=1.0, 1.2 and 1.8). The results clearly explain the transition processes; first from an axisymmetric to a 3D steady flow and the second from a 3D steady to 3D oscillatory flow. Critical Marangoni numbers for each transition as well as the frequency were determined for various conditions. These results were compared with available results of both linear stability analysis and non- linear numerical simulations. The present results agreed well with previously reported values within 6%. In a short liquid bridge, the 3D flows indicate two-fold symmetry in azimuthal direction (m=2). In a longer liquid bridge, however, there appeared a 3D flow with m=1. These basic flows become unstable against time dependent disturbances at Ma_c2.

Citation Download Citation

Nobuyuki Imaishi, Shouichi Yasuhiro, Tsuneyuki Sato, and Shinichi Yoda "Three-dimensional numerical simulation of oscillatory Marangoni flow in half-zone of low-Pr fluids", Proc. SPIE 3792, Materials Research in Low Gravity II, (6 July 1999); https://doi.org/10.1117/12.351295

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